Calculus: A Complete Course (7th Edition) by Christopher Essex, Robert Adams

By Christopher Essex, Robert Adams

Collage textbook. strategies handbook additionally to be had upon request (also for the 8th variation of this book).

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Extra resources for Calculus: A Complete Course (7th Edition)

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41. 42. y = x 2 + 3, y = 3x + 1 y = x2 y = 4x 6, x 2 + y 2 = 25, 2x 2 + 2y 2 = 5, x2 3x + 4y = 0 xy = 1 In Exercises 43 50, identify and sketch the curve represented by the given equation. (3, 3) Version (b) 45. x 4 Version (d) (4, 2) Version (a) 3 47. x2 + y2 = 1 4 3)2 (x 9 x2 4 + 44. 9x 2 + 16y 2 = 144 (y + 2)2 = 1 46. (x 4 y2 = 1 48. x 2 1)2 + y2 = (y + 1)2 =4 4 1 49. x y = 4 50. (x 1)(y + 2) = 1 51. What is the effect on the graph of an equation in x and y of (a) replacing x with x? (b) replacing y with y?

G(x) 1)/2) (1, 1) In Exercises 8 10, construct the following composite functions and specify the domain of each. (a) f f (x) (b) f g(x) (c) g f (x) (d) g g(x) f (x) (1/2) f (x) x 5. x + |x| 6. |x| + |x 2| 7. 65. Sketch the graphs of the indicated functions, and specify their domains and ranges. 2x, 1 1 2x 1. x x if x 0 if x < 0. Why is f (x) called the integer part of x? 6: Polynomials and Rational Functions * Even and odd functions 33. Assume that f is an even function, g is an odd function, and (a) Show that f is the sum of an even function and an odd function: both f and g are de ned on the whole real line .

For what value of k are the lines parallel? 50. Find the line that passes through the point (1, 2) and through the point of intersection of the two lines x + 2y = 3 and 2x 3y = 1. Graphs of Quadratic Equations This section reviews circles, parabolas, ellipses, and hyperbolas, the graphs that are represented by quadratic equations in two variables. Circles and Disks The circle having centre C and radius a is the set of all points in the plane that are at distance a from the point C. + The distance from P(x , y) to the point C(h, k) is (x h)2 + (y k)2 , so that 18 PRELIMINARIES the equation of the circle of radius a > 0 with centre at C(h, k) is * (x h)2 + (y k)2 = a.

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